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Finding the Fourth Proportional to 977.38, 1,466.28 and 328.09

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Solution

The fourth proportional to 977.38, 1,466.28 and 328.09 is: 492.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.38 : 1,466.28 = 328.09 : x
  2. Step 2: Convert to fraction form
    977.38/1,466.28 = 328.09/x
  3. Step 3: Cross multiply
    977.38x = 1,466.28 × 328.09
  4. Step 4: Simplify right side
    977.38x = 481,071.81
  5. Step 5: Solve for x
    x = 481,071.81/977.38
  6. Step 6: Final answer
    x = 492.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.